199883040 has 384 divisors, whose sum is σ = 789626880. Its totient is φ = 41472000.

The previous prime is 199883039. The next prime is 199883081. The reversal of 199883040 is 40388991.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 199882983 and 199883001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978990 + ... + 1979090.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 2^199883040 is an apocalyptic number.

199883040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394813440).

199883040 is an abundant number, since it is smaller than the sum of its proper divisors (589743840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

199883040 is a wasteful number, since it uses less digits than its factorization.

199883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 199883040 is about 14137.9998585373. Note that the first 3 decimals coincide. The cubic root of 199883040 is about 584.6895277085.

The spelling of 199883040 in words is "one hundred ninety-nine million, eight hundred eighty-three thousand, forty".